Which of the following linear transformation is NOT one-to-one? L : R² → R², L OL: Mm,n → Mn,m, L (A) = AT (ED)-E] (E)- E = L : R³ → R³, L 1 0 ([]) = [] [] L : R³ → R³, L

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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37. Linear Transformation One to One

Which of the following linear transformation is NOT one-to-one?
([₁]):
L : Mm,n → Mn,m, L (A) = AT
=
(C:)
(E)- E
L : R² → R², L
²
L : R³ → R³, L
L: R³ → R³, L
X
=
1
0
9][+]
Transcribed Image Text:Which of the following linear transformation is NOT one-to-one? ([₁]): L : Mm,n → Mn,m, L (A) = AT = (C:) (E)- E L : R² → R², L ² L : R³ → R³, L L: R³ → R³, L X = 1 0 9][+]
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